Nonexistence of Global Solutions for the Kirchhoff-Type Equation with Fractional Damped

Year 2018, , 131 - 136, 25.12.2018

Erhan Pişkin , Turgay Uysal

https://doi.org/10.33401/fujma.477003

Abstract

In this work, we investigate the Kirchhoff-type equation with a fractional damping term in a bounded domain. The fractional damping term plays a quenching role, which is weaker than strong damping and stronger than weak damping term. We prove a nonexistence of global solutions with negative inital energy. This result extends and improves some results in the literature.

Keywords

Fractional damping term, Global nonexistence, Kirchhoff-type equation

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